Dimensional crossover in spin-orbit-coupled semiconductor nanowires with induced superconducting pairing

被引:52
作者
Stanescu, Tudor D. [1 ]
Lutchyn, Roman M. [2 ]
Das Sarma, S. [3 ]
机构
[1] W Virginia Univ, Dept Phys, Morgantown, WV 26506 USA
[2] Microsoft Res, Stn Q, Santa Barbara, CA 93106 USA
[3] Univ Maryland, Dept Phys, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
来源
PHYSICAL REVIEW B | 2013年 / 87卷 / 09期
关键词
MAJORANA FERMIONS; SIGNATURE;
D O I
10.1103/PhysRevB.87.094518
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We show that the topological Majorana modes in nanowires much longer than the superconducting coherence length are adiabatically connected with discrete zero-energy states generically occurring in short nanowires. We demonstrate that these zero-energy crossings can be tuned by an external magnetic field and are protected by the particle-hole symmetry. We study the evolution of the low-energy spectrum and the splitting oscillations as a function of magnetic field, wire length, and chemical potential, manifestly establishing that the low-energy physics of short wires is related to that occurring in long wires. This physics, which represents a hallmark of spinless p-wave superconductivity, can be observed in tunneling conductance measurements. DOI: 10.1103/PhysRevB.87.094518
引用
收藏
页数:6
相关论文
共 29 条
[1]   Non-Abelian statistics and topological quantum information processing in 1D wire networks [J].
Alicea, Jason ;
Oreg, Yuval ;
Refael, Gil ;
von Oppen, Felix ;
Fisher, Matthew P. A. .
NATURE PHYSICS, 2011, 7 (05) :412-417
[2]   Majorana fermions in a tunable semiconductor device [J].
Alicea, Jason .
PHYSICAL REVIEW B, 2010, 81 (12)
[3]   Splitting of Majorana-Fermion Modes due to Intervortex Tunneling in a px+ipy Superconductor [J].
Cheng, Meng ;
Lutchyn, Roman M. ;
Galitski, Victor ;
Das Sarma, S. .
PHYSICAL REVIEW LETTERS, 2009, 103 (10)
[4]  
Das A, 2012, NAT PHYS, V8, P887, DOI [10.1038/nphys2479, 10.1038/NPHYS2479]
[5]   Anomalous Zero-Bias Conductance Peak in a Nb-InSb Nanowire-Nb Hybrid Device [J].
Deng, M. T. ;
Yu, C. L. ;
Huang, G. Y. ;
Larsson, M. ;
Caroff, P. ;
Xu, H. Q. .
NANO LETTERS, 2012, 12 (12) :6414-6419
[6]   Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions [J].
Fidkowski, Lukasz ;
Alicea, Jason ;
Lindner, Netanel H. ;
Lutchyn, Roman M. ;
Fisher, Matthew P. A. .
PHYSICAL REVIEW B, 2012, 85 (24)
[7]   Tunneling characteristics of a chain of Majorana bound states [J].
Flensberg, Karsten .
PHYSICAL REVIEW B, 2010, 82 (18)
[8]   Superconducting proximity effect and Majorana fermions at the surface of a topological insulator [J].
Fu, Liang ;
Kane, C. L. .
PHYSICAL REVIEW LETTERS, 2008, 100 (09)
[9]   Josephson current and noise at a superconductor/quantum-spin-Hall-insulator/superconductor junction [J].
Fu, Liang ;
Kane, C. L. .
PHYSICAL REVIEW B, 2009, 79 (16)
[10]   Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement [J].
Kells, G. ;
Meidan, D. ;
Brouwer, P. W. .
PHYSICAL REVIEW B, 2012, 86 (10)